The Manchester United skipper has yet to win the world's oldest cup competition.
In his first full season at Old Trafford, the Red Devils were beaten in the final by Chelsea.
There have also been semi-final losses to Everton and Manchester City as United have endured a succession of frustrations at the `new' Wembley.
But with the Premier League title secure barring some unthinkable catastrophe, Vidic is now training his sights on the only piece of silverware to elude him since his £7million arrival from Spartak Moscow.
"My aim before every season is to win a trophy," said Vidic.
"You want to be there for the big games and once the season is finished, and you are going home or on holiday, you want to see what you have won.
"That is the thing that has always pushed me."
And Vidic accepts cup competitions in England are something slightly different, even if the big clubs usually end up contesting the latter stages.
"The cup in Serbia is obviously a trophy but the league has always been seen as the main thing," said Vidic.
"Over the last few years in England the semi-finals and finals have always interesting because Chelsea, Manchester United, Manchester City and Arsenal have always been there and they are the teams who are always watched. People always want to see them, especially when they are fighting for a trophy. It makes them important games."